Question

if 1kg ball tide to 1m long string rotates in horizontal circle with 4c/s then what is tension in string​

Answer 1

if 1kg ball tide to 1m long string rotates in horizontal circle with 4c/s then we have to find tension in string.

mass of ball , m = 1kg

length of string , l = 1m

frequency of ball in horizontal circle , f = 4 cycle /sec

so angular frequency , $\omega$ = 2π × frequency= 2π × 4 = 8π rad/s

now, Tension in string , T = $m\omega^2 l$

= 1 × (8π)² × 1

= 64π² N

= 64 × (3.14)² N

= 631 N

hence, tension in string is 631 N